Photodisintegration of the Triton with Velocity-Dependent Potentials

Abstract

We apply the sum rules of Levinger and Bethe to calculate the integrated cross section (${\sigma }_{\mathrm{int}}$) and the bremsstrahlung-weighted cross section (${\sigma }_b$) for the photodisintegration of the triton, using the wave function ${\psi }_0=N\left\{\exp \right[-\left(\frac{\kappa }{2}\right)(r_{12}+r_{13}+r_{23})]+A\exp [-\left(\frac{\lambda }{2}\right)(r_{12}+r_{13}+r_{23})\left]\right\}$ and two-body velocity-dependent central potentials both for ${}_{}{}^1{}_{}{}^{}S$ and ${}_{}{}^3{}_{}{}^{}S$ states. The values of the wave-function parameters $\kappa$, $A$, and $\lambda$ are those determined from a variational calculation of the binding energy of the triton. Our values of ${\sigma }_{\mathrm{int}}$ and ${\sigma }_b$ agree reasonably well with those of Mathur et al. obtained by using hard-core wave functions and potentials, and also with the experimental values of Gorbunov et al.